The first is the limit. Limit still accounts for a large proportion in the first place. As long as the examination method is to seek the limit, it has some monotonous and defined uses. We should fully master the methods of finding the limit of infinitive, such as using the four operations of limit and L'H?pital's law. , the other two important limits are also the key content; Secondly, the application of limit, mainly in continuity and derivative, is also the focus of examination, which requires us to directly cut into the definition, fully understand the definition of function continuity and master the method of judging continuity.

Derivative and differential

Although the derivative is defined by the limit, in the real examination process, we do not directly use the definition to find the derivative of the function, but more directly find the derivative of the function from the derivative formula. The examination method of derivative is mainly combined with other knowledge points, and rarely gives you a function to calculate derivative directly. For example, the proof of inequality, the monotonicity of function, the judgment of concavity and convexity, the partial differential of binary function and so on. In other words, the derivative is the basis.

Mean value theorem

Generally, the mean value theorem is tested at least once every two years, mostly in the form of proof questions, and often combined with the tempering of continuous functions on closed intervals, with the emphasis on Rolle's theorem.

Integral and indefinite integral

Integral and indefinite integral are the most important in the exam, especially the integral of multivariate function is a necessary question every year. On average, there are two big problems in a year, the solution of definite integral, the integral of piecewise function and the integral of function with absolute value are all very important problems. Moreover, in the process of finding the integral, we should pay special attention to the symmetry of the integral, and get the integral by removing the absolute value by piecewise integral. The calculation of double integral, although Mathematics I also includes triple integral, is tested once a year. In addition, the fusion of curves and surfaces is also the key content of the exam. For curve integral and surface integral, Green's formula and Gaussian formula are the main inspection methods. Everyone must pay attention to the use conditions of Green's formula and Gauss's formula, and traps are often set here during exams. These two parts are scattered and difficult, and there are many formulas and theorems to memorize.

differential equation

In differential equations, it is necessary to master the solutions of discrete variable equations, homogeneous differential equations, first-order linear differential equations and second-order linear differential equations with constant coefficients. For these equations, we need to be able to judge the types of equations, and use the corresponding solving methods to solve the formulas, which can be solved quickly. For infinite series, we should be able to judge the convergence and divergence of series, focusing on solving the convergence radius and convergence domain of power series, and finding the sum function of several series and power series.